Dr. Anne V. Shepler
University of North Texas
Mathematics
Email:

Education

PhD, University of California at San Diego, 1999.
Major: Mathematics
BS, Valparaiso University, Indiana, 1994.
Major: Mathematics, National Merit Scholar, Summa Cum Laude

Professional Positions

Professional
Professor, University of North Texas. (September 2020 – Present).
Associate Professor, University of North Texas. (2007 – August 2020).
Gastprofessorin, RWTH Aachen University, Germany. (2008 – 2009).
Humboldt Research Fellow, RWTH Aachen University, Germany. (2008 – 2009).
Assistant Professor, University of North Texas. (2001 – 2007).
General Member, "Hyperplane Arrangements and Applications", Mathematical Sciences Research Institute, Berkeley, California. (2004 – 2004).
N.S.F. Mathematical Sciences Postdoctoral Research Fellow, University of California at Santa Cruz. (2000 – 2002).
Visiting Assistant Professor, University of California at Santa Cruz. (2000 – 2002).
N.S.F. Mathematical Sciences Postdoctoral Research Fellow, University of Wisconsin at Madison. (1999 – 2000).

Professional Memberships

Mathematical Association of America. (January 2011 – January 2022).

Teaching

Teaching Experience

University of North Texas
MATH 1190, Business Calculus, 1 course.
MATH 1720, Calculus II, 1 course.
MATH 2000, Discrete Mathematics, 5 courses.
MATH 2700, Linear Algebra and Vector Geometry, 5 courses.
MATH 2730, Multivariable Calculus, 9 courses.
MATH 2770, Discrete Mathematical Structures, 3 courses.
MATH 3410, Differential Equations I, 2 courses.
MATH 3510, Abstract Algebra I, 3 courses.
MATH 3740, Vector Calculus, 1 course.
MATH 4450, Introduction to the Theory of Matrices, 3 courses.
MATH 4510, Abstract Algebra II, 2 courses.
MATH 4900, Special Problems, 1 course.
MATH 4910, Special Problems, 1 course.
MATH 5000, Instructional Issues for the Professional Mathematician, 6 courses.
MATH 5500, Introduction to the Theory of Matrices, 3 courses.
MATH 5530, Selected Topics in Modern Algebra, 2 courses.
MATH 5700, Selected Topics in Contemporary Mathematics, 2 courses.
MATH 5900, Special Problems, 24 courses.
MATH 5910, Special Problems, 3 courses.
MATH 5950, Master's Thesis, 1 course.
MATH 6510, Topics in Algebra, 9 courses.
MATH 6520, Algebra Seminar, 7 courses.
MATH 6610, Topics in Topology and Geometry, 1 course.
MATH 6620, Algebraic Topology, 1 course.
MATH 6900, Special Problems, 20 courses.
MATH 6910, Special Problems, 4 courses.
MATH 6950, Doctoral Dissertation, 30 courses.

Directed Student Learning

Doctoral Advisory Committee Chair, Mathematics. (May 2023 – Present).

Master's Thesis Committee Chair, Mathematics. (October 2022 – Present).

Doctoral Advisory Committee Chair, Mathematics. (August 2019 – Present).

Other, Mathematics. (2023 – 2023).

Doctoral Advisory Committee Member, Mathematics. (2023 – 2023).

Doctoral Advisory Committee Member, Mathematics. (2023 – 2023).

Master's Thesis Committee Member, Mathematics. (2023 – 2023).

Doctoral Advisory Committee Chair,"Invariant differential derivations for modular reflection groups," Mathematics. (September 2018 – May 2023).

Doctoral Advisory Committee Chair,"Deformation cohomology for cyclic groups acting on polynomial rings," Mathematics. (August 2018 – May 2023).

Other, Mathematics. (2022 – 2022).

Other, Mathematics. (2021 – 2021).

Master's Thesis Committee Member, Mathematics. (2021 – 2021).

Other, Mathematics. (2020 – 2020).

Doctoral Advisory Committee Chair, Mathematics. (May 2016 – 2020).

Doctoral Advisory Committee Chair, Mathematics. (May 2016 – May 2020).

Other, Mathematics. (2019 – 2019).

Doctoral Advisory Committee Member, Mathematics. (2019).

Other, Mathematics. (2018).

Doctoral Advisory Committee Member, Mathematics. (2018).

Doctoral Advisory Committee Member, Mathematics. (2018).

Master's Thesis Committee Member, Mathematics. (2018).

Other, Mathematics. (2017).

Doctoral Advisory Committee Member, Mathematics. (2017).

Master's Thesis Committee Member, Mathematics. (2017).

Doctoral Advisory Committee Chair, Mathematics. (May 2012 – August 2017).

Master's Thesis Committee Chair, Mathematics. (May 2013 – December 2016).

Postdoctoral Research Supervision, Mathematics. (January 2015 – August 2016).

Doctoral Advisory Committee Chair, Mathematics. (May 2010 – August 2016).

Master's Thesis Committee Chair, Mathematics. (2015).

Undergraduate Honors Thesis, Mathematics. (January 2012 – May 2015).

Doctoral Advisory Committee Chair, Mathematics. (2012).

Master's Thesis Committee Chair, Mathematics. (2005).

Awards and Honors

Department of Mathematics Teaching Award, University of North Texas. (2020).

Department of Mathematics Teaching Award, University of North Texas. (2016).

Nominated for: University's Excellence in Teaching Award Nomination, University of California at Santa Cruz. (2002).

Mathematics Department Teaching Award, University of California at San Diego. (1999).

Research

Published Intellectual Contributions

Journal Article
Shepler, A. V., Witherspoon, S. (2022). Gerstenhaber brackets for skew group algebras in positive characteristic. Transformation Groups. 27, 295–309.
Krawzik, N., Shepler, A. (2022). Drinfeld Hecke algebras for symmetric groups in positive characteristic. Communications in Algebra. 50(5), 1925--1941.
Reiner, V., Shepler, A. V., Sommer, E. (2021). Invariant theory for coincidental complex reflection groups. Mathematische Zeitschrift. 298(1-2), 787--820.
Shepler, A. V., Witherspoon, S. (2021). Group-twisted Alexander-Whitney and Eilenberg-Zilber maps. Algebras and Representation Theory. 24, 357--366.
Shepler, A. V., Drescher, C. (2020). Invariants of polynomials mod Frobenius powers. Journal of Algebra. 556, 908--935.
Reiner, V., Shepler, A. (2019). Invariant derivations and differential forms for reflection groups. Proceedings of the London Mathematical Society. 119(2), 329--357.
Shepler, A. V., Witherspoon, S. (2019). Resolutions for twisted tensor products. Pacific Journal of Mathematics. 298(2), 445--469.
Puente, P., Shepler, A. (2019). Steinberg's theorem for crystallographic complex reflection groups. Journal of Algebra. 522, 332--350.
Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A., Witherspoon, S. (2019). Color Lie rings and PBW deformations of skew group algebras. Journal of Algebra. 518, 211--236.
Shepler, A. V., Witherspoon, S. (2018). Deforming group actions on Koszul algebras. Mathematical Research Letters. 25(5), 1613-1644.
Nation, J., Kim, H., Shepler, A. (2015). Group coding with complex isometries. IEEE Transactions on Information Theory. 61(1), 33--50.
Shepler, A. V., Witherspoon, S. (2014). A Poincare-Birkhoff-Witt theorem for quadratic algebras with group actions. Transactions of the American Mathematical Society. 366(12), 6483--6506.
Levandovskyy, V., Shepler, A. V. (2014). Quantum Drinfeld Hecke algebras. Canadian Journal of Mathematics. 66, 874--901.
Shepler, A. V., Witherspoon, S. (2012). Drinfeld orbifold algebras. Pacific Journal of Mathematics. 259(1), 161--193.
Shepler, A. V., Witherspoon, S. (2012). Group actions on algebras and the graded Lie structure of Hochschild cohomology. Journal of Algebra. 351, 350--381.
Shepler, A. V., Witherspoon, S. (2011). Finite groups acting linearly: Hochschild Cohomology and the Cup Product. Advances in Mathematics. 226(4), 2884--2910.
Shepler, A. V., Witherspoon, S. (2011). Quantum differentiation and chain maps of bimodule complexes. Algebra & Number Theory. 5(3), 339--360.
Shepler, A. V., Witherspoon, S. (2008). Hochschild cohomology and Graded Hecke algebras. Transactions of the American Mathematical Society. 360(8), 3975--4005.
Hartmann, J., Shepler, A. V. (2008). Jacobians of reflection groups. Transactions of the American Mathematical Society. 360(1), 123--133.
Hartmann, J., Shepler, A. V. (2007). Reflection groups and differential forms. Mathematical Research Letters. 14(6), 955--971.
Shepler, A. V. (2005). Generalized exponents and forms. Journal of Algebraic combinatorics. 22(1), 115--132.
Ram, A., Shepler, A. V. (2003). Classification of graded Hecke algebras for complex reflection groups. Commentarii Mathematici Helvetici. 78(2), 308--334.
Orlik, P., Reiner, V., Shepler, A. V. (2002). The sign representation for Shephard groups. Mathematische Annalen. 322, 477--492.
Shepler, A. V., Terao, H. (2000). Logarithmic forms and anti-invariant forms of reflection groups. Advanced Studies in Pure Mathematics. Arrangements, Tokyo, 2000. 27, . Tokyo-Amsterdam: Kinokuniya and North-Holland.
Shepler, A. V. (1999). Semi-invariants of finite reflection groups. Journal of Algebra. 220(1), 314--326.

Presentations Given

Invited Talk

Shepler, A. (Author & Presenter), Physics Department Colloquium, Arrangements of Hyperplanes: the lazy caterer pizza theorem and cutting up n-dimensional space, Univ. of North Texas, Denton, TX, United States of America. (2023 – 2023).

Shepler, A. (Author & Presenter), Combinatorics Seminar, Reflection groups in positive characteristic, University of Minnesota, Minneapolis, Minnesota, United States of America. (2022 – 2022).

Shepler, A. (Author & Presenter), Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry (University of Washington), Drinfeld Hecke Algebras and Group-Twisted Alexander-Whitney and Eilenberg-Zilber Maps, University of Washington, Seattle, Washington, United States of America. (2022 – 2022).

Shepler, A. (Author & Presenter), Special Session on Hopf Algebras and Tensor Categories, Winter Joint Mathematical Meetings, Seattle (online), Gerstenhaber brackets for skew group algebras in positive characteristic, American Mathematical Society, Seattle, United States of America. (2022 – 2022).

Shepler, A. (Author & Presenter), Texas-Oklahoma Representations and Automorphic Forms TORA XI, Oklahoma State University, Invariant derivations and differential forms for reflection groups, Oklahoma State University, Oklahoma, United States of America. (2022 – 2022).

Shepler, A. (Author & Presenter), Seattle Noncommutative Algebra Day, Drinfeld Hecke algebras and quantum polynomial rings, University of Washington, Seattle, Seattle, Washington (online), United States of America. (2022 – 2022).

Shepler, A. (Author & Presenter), Special Session on Hopf Algebras, Tensor Categories, and Related Homological Methods, Spring Eastern Sectional Meeting (formerly at Brown University), Group-twisted Alexander-Whitney and Eilenberg-Zilber maps, American Mathematical Society, United States of America. (2021 – 2021).

Shepler, A. (Author & Presenter), SIAM, Society for Industrial and Applied Mathematics, Minisymposium on Parking Functions and (Co)invariant Rings, Catalan numbers and invariant theory for complex reflection groups, Southern Methodist University, Dallas, TX, United States of America. (2019 – 2019).

Shepler, A. (Author & Presenter), Workshop on Hyperplane Arrangements and Reflection Groups, Invariant derivations and differential forms, Leibniz Universität Hannover, Germany, Germany. (2019 – 2019).

Shepler, A. (Author & Presenter), AMS-MAA Winter Meetings, Special Session on Noncommutative Algebras and Noncommutative Invariant Theory, Invariant Theory of Reflection Groups, American Mathematical Society, San Diego, United States of America. (2018).

Shepler, A. V. (Author & Presenter), CMS Summer Meetings, Scientific Session on Algebraic Groups and Related Topics, Classical invariant theory, Canadian Mathematical Society, Fredericton, Canada. (2018).

Shepler, A. V. (Author & Presenter), CMS Summer Meetings, Scientific Session on Cohomology -- a link between numbers and geometry, Resolutions for twisted tensor products, Canadian Mathematics Society, Fredericton, Canada. (2018).

Shepler, A. (Author & Presenter), Special Session on Arrangements of Hypersurfaces, Invariant derivations and differential forms for reflection groups, American Mathematical Society, Boston, United States of America. (2018).

Shepler, A. (Author & Presenter), Special Session on Noncommutative Algebra and Representation Theory, Twisted tensor products, American Mathematical Society, Boston, United States of America. (2018).

Shepler, A. (Author & Presenter), Algebra Extravaganza! A Conference in Honor of Ellen Kirkman and Martin Lorenz, Noncommutative algebras arising from group actions and color Lie algebras, Temple University, Philadelphia, United States of America. (2017).

Shepler, A. V. (Author & Presenter), AMS Special Session on Lie Algebras, Superalgebras, and Applications, Universal enveloping algebras of color Lie rings, American Mathematical Society, Denton, Texas, United States of America. (2017).

Shepler, A. V. (Author & Presenter), Combinatorics Seminar, The backbone and virtue of Poincare-Birkhoff-Witt, University of Minnesota, Minneapolis, Minnesota, United States of America. (2016).

Shepler, A. V. (Author & Presenter), Conference on Group Actions and Algebraic Combinatorics, Deformations of group actions on quadratic algebras, Heilbronn Institute for Mathematical Research, Tutte Institute for Mathematics and Computing, London Mathematical Society, The Fields Institute for Research in Mathematical Sciences, Herstmonceux Castle, United Kingdom. (2016).

Shepler, A. V. (Author & Presenter), Number Theory Seminar, The Jacobi group and pseudodifferential operators, Texas A&M University, College Station, Texas, United States of America. (2016).

Shepler, A. V. (Author & Presenter), WINART: Women in Noncommutative Algebra and Representation Theory, Introduction to algebraic deformations and homological algebra, Association for Women in Mathematics (AWM), Banff International Research Station (BIRS), Canada, Canada. (2016).

Shepler, A. V. (Author & Presenter), Combinatorics Seminar, The backbone and virtue of Poincare-Birkhoff-Witt, University of Minnesota, United States of America. (2014 – 2014).

Keynote/Plenary Address

Shepler, A. (Author & Presenter), Workshop on "Various Guises of Reflection Arrangements", Solomon's Theorem, differential derivations, and Coxeter numbers over arbitrary fields, International Centre for Mathematical Sciences (ICMS), Edinburgh, Scotland, United States of America. (2023 – 2023).

Other

Shepler, A. V. (Author & Presenter), AMS-MAA Winter Meetings, AWM workshop on Noncommutative Algebra and Representation Theory, Color Lie rings and PBW deformations of skew group algebras, American Mathematical Society, San Diego, United States of America. (2018).

Media Contributions

Internet
"Faculty Spotlight," UNT article. (2014).

Contracts, Grants and Sponsored Research

Fellowship
Shepler, A. V. (Principal), "Humbolt Research Fellowship," Sponsored by Alexander von Humboldt Foundation, Germany, Private, Funded. (2009 – 2010).
Shepler, A. V. (Principal), "Mathematical Sciences Postdoctoral Research Fellowship," Sponsored by National Science Foundation, Federal, $90000 Funded. (1999 – 2002).
Grant - Research
Beneish, L. (Principal), Richter, O. K. (Co-Principal), Shepler, A. V. (Co-Principal), "Texas-Oklahoma Representations and Automorphic Forms, Award #2347096," Sponsored by National Science Foundation, Federal, $20000 Funded. (2023 – Present).
Shepler, A. V. (Principal), "Twisted tensor products," Sponsored by Simons Foundation, National, $42000 Funded. (September 1, 2022 – August 31, 2027).
Beneish, L. (Principal), Richter, O. K. (Co-Principal), Shepler, A. V. (Co-Principal), "TORA Conference Grant NSF (DMS-2347096)," Sponsored by National Science Foundation, Federal, $20000 Funded. (January 1, 2024 – December 31, 2026).
Conley, C. H. (Principal), Shepler, A. V. (Co-Principal), "Southwest Local Algebra Meeting 2023, DMS 1855261," Sponsored by National Science Foundation, Federal, $16000 Funded. (January 2022 – December 2023).
Richter, O. K. (Principal), Drescher, C. C. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1855261," Sponsored by National Science Foundation, Federal, $16000 Funded. (2019 – 2022).
Shepler, A. V. (Principal), "Deformations," Sponsored by Simons Foundation, Federal, Funded. (2016 – 2021).
Richter, O. K. (Principal), Drellich, E. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1600642," Sponsored by National Science Foundation, Federal, $13000 Funded. (2016 – 2019).
Shepler, A. V. (Principal), "Research Grant (Cohomology and Deformations of Algebras)," Sponsored by National Sciece Foundation, Federal, $132187 Funded. (2011 – 2015).
Richter, O. K. (Principal), Conley, C. H. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1302770," Sponsored by National Science Foundation, Federal, $12000 Funded. (2013 – 2014).
Richter, O. K. (Principal), Conley, C. H. (Co-Principal), Shepler, A. V. (Co-Principal), "NSF grant DMS 1132586," Sponsored by National Science Foundation, Federal, $8000 Funded. (2011 – 2012).
Shepler, A. V. (Principal), "Research Grant (Cohomology, Deformations, and Invariants)," Sponsored by National Science Foundation, Federal, $153000 Funded. (2008 – 2012).
Shepler, A. V. (Principal), "Advanced Research Program Grant," Sponsored by Texas Higher Education Coordinating Board, State, $43469 Funded. (2008 – 2010).
Shepler, A. V. (Principal), "Research Grant (Combinatorics and Geometry in Representation Theory)," Sponsored by National Science Foundation, Federal, $105000 Funded. (2004 – 2008).
Shepler, A. V. (Principal), "Research Grant: Young Investigators Grant," Sponsored by National Security Agency, Federal, $26000 Funded. (2002 – 2004).

Awards and Honors

Department of Mathematics Research Award, University of North Texas. (2014 – 2014).

National Merit Scholar, National Merit Scholarship Organization. (1990).

Service

University Service

Program Organizer, Women in Mathematical Sciences (WIMS). (August 2013 – Present).

Chairperson, Hiring Committee for tenure-track position in Combinatorics. (September 2023 – May 2024).

Committee Member, Executive Committee (P&T and annual evals). (January 2023 – May 2024).

Committee Chair, PhD Qualifying Exam Committee (Algebra). (May 2023 – February 2024).

Member, College of Science IDEA Council. (2021 – September 2023).

Committee Member, Hiring Committee for Department Chair. (January 2023 – May 2023).

Co-Chair, Hiring Committee for tenure-track position in Algebra or Number Theory. (September 2021 – May 2022).

Committee Member, Inclusive Curriculum Committee. (September 2021 – May 2022).

Program Organizer, "Setting Expectations" Bridge Course (credit for Diversity Training). (2020 – 2021).

Committee Member, Committee on the Status of Women. (September 2018 – August 2021).

Committee Member, Hiring Committee for tenure-track position in Dynamics. (September 2020 – May 2021).

Committee Member, Executive Committee (P&T and faculty annual evaluations). (May 2019 – May 2021).

Committee Member, PhD Qualifying Exam Committee (Algebra). (August 2001 – March 2021).

Member, College of Science Council on Diversity and Inclusion. (June 2020 – December 2020).

Committee Member, Graduate Affairs Committee. (January 2020 – May 2020).

Committee Member, Joint Appointment Cross-College Hiring Committee. (August 2019 – May 2020).

Program Organizer, Algebra Seminar.. (January 2019 – May 2019).

Program Organizer, Algebra Seminar. (January 2018 – September 2018).

Committee Member, Executive Committee (P&T and annual evals). (May 2016 – May 2018).

Workshop Organizer, Algebra Seminar. (2012 – 2017).

Chairperson, PhD Qualifying Exam Committee (Algebra). (May 2016 – May 2017).

Committee Member, Committee on the Status of Women. (2014 – August 2016).

Committee Member, Graduate Affairs Committee. (January 2013 – May 2016).

Chairperson, Graduate Affairs Committee. (August 2013 – May 2015).

Committee Member, Strategic Planning Committee. (May 2011 – May 2015).

Chairperson, Strategic Planning Committee. (August 2011 – May 2012).

Other, Undergraduate Math Club. (2003 – 2007).

Other, Website. (2002 – 2004).

Committee Member, Strategic Planning Committee. (May 2002 – May 2004).

Other, Seminar preparing graduate students for Qualifying Graduate Exam in Alegbra. (2003 – 2003).

Professional Service

Reviewer, Journal Article, Several Mathematics Journals. (2020 – Present).

Editor, Associate Editor, Mathematical Association of America (MAA) Journal: "American Mathematical Monthly". (2013 – Present).

Program Organizer, SLAM 2023: Southwest Local Algebra Meeting, Denton, Texas. (August 2022 – February 2024).

Reviewer, Ad Hoc Reviewer, Evaluation of tenure/promotion cases at other institutions. (January 2020 – 2020).

Reviewer, Ad Hoc Reviewer, Professional letters evaluating tenure/promotion cases at other institutions. (January 2018 – 2018).

Program Organizer, Joint National AMS/MAA Meetings, American Women in Mathematics (AWM) Workshop, San Diego, California. (2017 – 2018).

Committee Member, AWM Joint Meetings Committee, Atlanta, Georgia. (2016 – 2018).

Program Organizer, AMS Special Session "Noncommutative and Homological Algebra", Denton, Texas. (2017).

Program Organizer, Joint National AMS/MAA Meetings, American Women in Mathematics Poster Session, Atlanta, Georgia. (2016 – 2017).

Program Organizer, TORA VII: Texas-Oklahoma Representations and Automorphic forms, Denton, Texas. (2016).

Program Organizer, AMS Sectional Meeting, Special Session "Noncommutative Algebra, Deformations, and Hochschild cohomology", Lubbock, Texas. (2014 – 2014).

Program Organizer, AMS Sectional Meeting, Special Session, Boulder, Colorado. (2013 – 2013).

Program Organizer, TORA IV: Texas-Oklahoma Representations and Automorphic forms, Denton, Texas. (2013).

Program Organizer, TORA I: Texas-Oklahoma Representations and Automorphic forms, Denton, Texas. (2011).

Program Organizer, AMS Sectional Meeting, Special Session, Macalester College, St. Paul, Minnesota. (2010 – 2010).

Program Organizer, Joint AMS/MAA National Meeting, Special Session "Arrangements and Related Topics", New Orleans, Louisiana. (2007 – 2007).

Other, American Women in Mathematics (AWM) Panel Discussion. (2004 – 2004).

Program Organizer, AMS sectional meeting, Special Session, University of Wisconsin. (2002 – 2002).